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Finding the Fourth Proportional to 874.13, 1,312.59 and 509.18

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Solution

The fourth proportional to 874.13, 1,312.59 and 509.18 is: 764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,312.59 = 509.18 : x
  2. Step 2: Convert to fraction form
    874.13/1,312.59 = 509.18/x
  3. Step 3: Cross multiply
    874.13x = 1,312.59 × 509.18
  4. Step 4: Simplify right side
    874.13x = 668,344.58
  5. Step 5: Solve for x
    x = 668,344.58/874.13
  6. Step 6: Final answer
    x = 764.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.